Inferential Statistics
Virginia SOL PS.IS.2
Apply properties of sampling distributions and inference procedures to make decisions about populations.
What students need to be able to do
- Describe the shape, center, and spread of the sampling distribution of a mean.
- Calculate and interpret a point estimate and margin of error for a mean confidence interval.
- Describe the use of the Central Limit Theorem in satisfying inference assumptions for a mean.
- Identify the properties of a t distribution.
- Construct a one-sample t confidence interval: identify conditions (random sample, independence, approximate normality), calculate using technology, and interpret the interval.
- Apply one-sample t hypothesis testing: construct null and alternate hypotheses, identify conditions, calculate and interpret p-value, determine whether to reject the null hypothesis, and interpret results.